On some linear operators in Clifford analysis

 

保存先:
書誌詳細
著者: Alfonso Santiesteban, Daniel
フォーマット: artículo original
状態:Versión publicada
出版日付:2024
その他の書誌記述:In the late 1970s, the term Clifford Analysis was first used by the American mathematician John Ryan. Several decades have passed and this autonomous discipline in mathematical analysis has proven to be extremely effective in rewriting many of the equations of mathematical physics. In this article we will obtain some interesting results on linear operators that are related to functional spaces that arise specifically in Clifford algebras. The connection of some of these operators with the well-known Lamé-Navier system in Linear Elasticity makes it possible to study essential properties and natural generalizations to high dimensions. At the end, new Dirac operators constructed with arbitrary orthonormal bases of Euclidean space will be considered.
国:Portal de Revistas UCR
機関:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
言語:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/56295
オンライン・アクセス:https://revistas.ucr.ac.cr/index.php/matematica/article/view/56295
キーワード:Operadores lineales
álgebras de Clifford
Operadores de Dirac
Linear operators
Clifford algebras
Dirac operators